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JEE Main2012MathematicsThree Dimensional GeometryActual

If the lines x-1 2 = y+1 3 = z-1 4 and x-3 1 = y-k 2 = z 1 intersect, then k is equal to

Options

  1. A-1
  2. B2 9
  3. C9 2
  4. D0

Correct answer

C. 9 2

Step-by-step solution

Any point on x-1 2 = y+1 3 = z-1 4 =t is (2 t+1,3 t-1,4 t+1) And any point on x-3 1 = y-k 2 = z 1 = s is (s+3,2 s+k, s) Given lines are intersecting t =- 3 2 and s =-5 k = 9 2

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